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Finding the Fourth Proportional to 15,039, 20,753.82 and 8,415

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Solution

The fourth proportional to 15,039, 20,753.82 and 8,415 is: 11,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,039 : 20,753.82 = 8,415 : x
  2. Step 2: Convert to fraction form
    15,039/20,753.82 = 8,415/x
  3. Step 3: Cross multiply
    15,039x = 20,753.82 × 8,415
  4. Step 4: Simplify right side
    15,039x = 174,643,395.30
  5. Step 5: Solve for x
    x = 174,643,395.30/15,039
  6. Step 6: Final answer
    x = 11,612.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.